Geodesic
The Nakayama Map and Ramification for Maximally Complete Fields
Canadian journal of mathematics, Tome 26 (1974) no. 4, pp. 917-919

Voir la notice de l'article provenant de la source Cambridge University Press

Let K be a maximally complete valued field and let L be a totally ramified Galois extension of K with Galois group G. Assume (i) the value group quotient of L|K is cyclic and (ii) there exists an unramified cyclic extension of K of the same degree as L. Then there is an isomorphism of Ga onto a subgroup A/N(L ×) of K ×/N(L ×) which maps the ramification group Gi onto Ai N(L ×)/N(L ×) for all i > 0 where Ai = {x ∊ A|v(x ‒ 1) ≧ i}. This generalizes certain results of Local Class Field Theory. 
Marshall, Murray A. The Nakayama Map and Ramification for Maximally Complete Fields. Canadian journal of mathematics, Tome 26 (1974) no. 4, pp. 917-919. doi: 10.4153/CJM-1974-086-6
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